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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Thu, 9 Jan 2025 13:18:28 -0800
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On 1/9/2025 12:19 PM, joes wrote:
> Am Thu, 09 Jan 2025 17:59:07 +0100 schrieb WM:
>> On 09.01.2025 17:11, FromTheRafters wrote:
>>> WM wrote on 1/9/2025 :
>>>> On 09.01.2025 13:27, FromTheRafters wrote:
>>>>> WM wrote :
>>>>>> On 09.01.2025 01:07, joes wrote:
>>>>>>> Am Wed, 08 Jan 2025 22:57:52 +0100 schrieb WM:
>>>>>>
>>>>>>>> The rule is for n there is n+1. But the successor is not created
>>>>>>>> but does exist. How far do successors reach? Why do they not reach
>>>>>>>> to ω-1?
>>>>>>>> Where do they cease before?
>>>>>>> They don't cease. They simply aren't in the same league, if you
>>>>>>> will.
>>>>>> Cantor will. Every set of numbers of the first and second number
>>>>>> class has a smallest element. Hence they all are on the ordinal
>>>>>> line.
>>>>> Zero is the smallest in the natural number class, omega is the
>>>>> smallest of the infinite number class. Neither has a predecessor in
>>>>> its class.
>>>> Are the natural numbers fixed or do they evolve?
>>> Neither
>> There is no third alternative.
> They are neither finite in number nor do they "come into being".
> 
>>> they are the smallest infinite set.
>> The set of prime numbers is infinite but smaller because it is a proper
>> subset. It has less than 1 % content.
> Any special reason for that figure?
> 

WM only uses 1% of his brain? Just a guess. I don't know.